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Box graphs and resolutions I

Abstract:

Box graphs succinctly and comprehensively characterize singular fibers of elliptic fibrations in codimension two and three, as well as flop transitions connecting these, in terms of representation theoretic data. We develop a framework that provides a systematic map between a box graph and a crepant algebraic resolution of the singular elliptic fibration, thus allowing an explicit construction of the fibers from a singular Weierstrass or Tate model. The key tool is what we call a fiber face d...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's Version

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Publisher copy:
10.1016/j.nuclphysb.2016.02.002

Authors


Publisher:
Elsevier Publisher's website
Journal:
Nuclear Physics B Journal website
Volume:
905
Pages:
447-479
Publication date:
2016-04-25
Acceptance date:
2016-02-01
DOI:
ISSN:
0550-3213
Pubs id:
pubs:606673
URN:
uri:b22b8ef4-6c6e-44f4-a3fc-605952aba6f9
UUID:
uuid:b22b8ef4-6c6e-44f4-a3fc-605952aba6f9
Local pid:
pubs:606673
Paper number:
C
Keywords:

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